Finding the Fourth Proportional to 10,075.59, 13,906.49 and 5,884.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.59 : 13,906.49 = 5,884.65 : x
2. Step 2: Convert to fraction form
   10,075.59/13,906.49 = 5,884.65/x
3. Step 3: Cross multiply
   10,075.59x = 13,906.49 × 5,884.65
4. Step 4: Simplify right side
   10,075.59x = 81,834,796.96
5. Step 5: Solve for x
   x = 81,834,796.96/10,075.59
6. Step 6: Final answer
   x = 8,122.08